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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 593 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.A grocer mixes 6 kg of tea at ₹25 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 3 kg of tea at ₹61 per kg with 9 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  5. 5.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  7. 7.Rice at ₹46 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  11. 11.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  12. 12.A grocer mixes 5 kg of tea at ₹114 per kg with 5 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  14. 14.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹21 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  16. 16.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  17. 17.A grocer mixes 10 kg of tea at ₹32 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹70 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  20. 20.A grocer mixes 2 kg of tea at ₹93 per kg with 8 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  22. 22.A grocer mixes 4 kg of tea at ₹23 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹38 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.Rice at ₹80 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹28 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A jug has 20 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹48 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.A grocer mixes 6 kg of tea at ₹82 per kg with 11 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹28 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  35. 35.A grocer mixes 12 kg of tea at ₹23 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  37. 37.A grocer mixes 10 kg of tea at ₹97 per kg with 7 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹42 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹88 per kg with 5 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 10 kg of tea at ₹106 per kg with 7 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 32
  2. 79
  3. 32
  4. 14
  5. 6
  6. 10
  7. 9
  8. 70
  9. 15
  10. 7
  11. 5
  12. 91
  13. 5
  14. 76
  15. 30
  16. 6
  17. 28
  18. 6
  19. 24
  20. 49
  21. 10
  22. 77
  23. 5
  24. 8
  25. 25
  26. 3
  27. 50
  28. 60
  29. 60
  30. 40
  31. 40
  32. 49
  33. 36
  34. 40
  35. 25
  36. 15
  37. 83
  38. 6
  39. 100
  40. 85

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